Some Motzkin path models of random and periodic copolymers

Motzkin paths are one of several directed walk models of polymers which have been used to investigate configurational properties. They have the advantage, like Dyck paths, that the models can often be solved exactly, and they have a further advantage over Dyck paths when considering physical systems...

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Bibliographic Details
Published in:Journal of physics. Conference series 2006-06, Vol.42 (1), p.111-123
Main Authors: Habibzadah, N, Iliev, G K, Saguia, A, Whittington, S G
Format: Article
Language:English
Subjects:
Copolymers
Physics
Quenching
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Summary:Motzkin paths are one of several directed walk models of polymers which have been used to investigate configurational properties. They have the advantage, like Dyck paths, that the models can often be solved exactly, and they have a further advantage over Dyck paths when considering physical systems involving an interface or surface. We illustrate their utility by considering several physical situations where Motzkin path models can be used. We consider the localization of periodic and random copolymers at an interface, under the influence of an applied force, and the unzipping (by an applied force) of a duplex polymer with a random monomer sequence. For the random cases the quenched system cannot be solved exactly and we use the Morita approximation but show that this gives a bound on the force required in the quenched system.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/42/1/012